A small ball is projected vertically downwards with speed 5 m s⁻¹ from a point A at a height of 7.2 m above horizontal ground. The ball hits the ground with speed V m s⁻¹ and rebounds vertically upwards with speed ⅓V m s⁻¹. The highest point the ball reaches after rebounding is B. Find V and hence find the total time taken for the ball to reach the ground from A and rebound to B.
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